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Simplifying -6(7b + 4) + -8 = 2 + -8b Reorder the terms: -6(4 + 7b) + -8 = 2 + -8b (4 * -6 + 7b * -6) + -8 = 2 + -8b (-24 + -42b) + -8 = 2 + -8b Reorder the terms: -24 + -8 + -42b = 2 + -8b Combine like terms: -24 + -8 = -32 -32 + -42b = 2 + -8b Solving -32 + -42b = 2 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. -32 + -42b + 8b = 2 + -8b + 8b Combine like terms: -42b + 8b = -34b -32 + -34b = 2 + -8b + 8b Combine like terms: -8b + 8b = 0 -32 + -34b = 2 + 0 -32 + -34b = 2 Add '32' to each side of the equation. -32 + 32 + -34b = 2 + 32 Combine like terms: -32 + 32 = 0 0 + -34b = 2 + 32 -34b = 2 + 32 Combine like terms: 2 + 32 = 34 -34b = 34 Divide each side by '-34'. b = -1 Simplifying b = -1
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